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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Subdominant ultrametrics

Authors: José M. Bayod and J. Martínez-Maurica
Journal: Proc. Amer. Math. Soc. 109 (1990), 829-834
MSC: Primary 54E35; Secondary 54E45
MathSciNet review: 1015676
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Abstract: Given a metric space $ \left( {X,d} \right)$ we study the existence of an ultrametric $ \delta $ which is dominated by $ d$. We give a number of examples and prove, among other results, that such an ultrametric exists if $ \left( {X,d} \right)$ is locally compact and totally disconnected.

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Additional Information

PII: S 0002-9939(1990)1015676-1
Keywords: Ultrametric (space), subdominant ultrametric
Article copyright: © Copyright 1990 American Mathematical Society